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2 years ago

I WILL MARK BRAINLIEST

Mathematics

1 answer:

Korvikt [17]2 years ago

8 0

Answer:

I believe the answer is A. 15-(3xy)

Step-by-step explanation:

The expression you are given is 15-(yx3) and option A is 15-(3xy). All they did was flip the values in the parentheses. It doesen't matter what value is first because the negative sign will be distributed to everything in the parentheses.

Hope this helps!!

Mark me brainliest please!

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Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

3 0

3 years ago

2 questions in one. Help?..

daser333 [38]

Answer:

2. 3

3. 4^45

Step-by-step explanation:

${ ({5}^{4} ) }^{m} = {5}^{12} \\ = > {5}^{4m} = {5}^{12} \\ = > 4m = 12 \\ = > m = \frac{12}{4} \\ = > m = 3 \\ \\ number \: of \: books \: at \: library \\ = {({4}^{9})}^{5} \times {4}^{0} \\ = {4}^{45} \times 1 \\ = {4}^{45}$

4 0

3 years ago

Read 2 more answers

Answer the question in the image

elena-s [515]

Th length of FH is 16

6 0

3 years ago

Can someone PLEASE answer this and explain I really need help I’ll mark brainliest

svetlana [45]

Answer:

Michael = x÷7

lee = 2(x÷7)

(x÷7)+2(x÷7)

Step-by-step explanation:

since he earns x dollars every seven days, to get the amount he earns, you divide that amount by 7 and for Lee, she gets twice as much so you multiply Michael's amount by 2

7 0

3 years ago

Help me please. Very much appreciated

Elza [17]

Answer:

360 or 38

Step-by-step explanation:

Number 1 :

2 * 2 * 5 * 6 * 3

4 * 30 * 3

120 * 3 = 360

Number 2 :

5 + 3 + 2 = 10

10 × 2 = 20

6 * 3 = 18

20 + 18 = 38

I hope this helps. Let me know if this is incorrect. Thank You. Have an Awesome Day. ❤

6 0

3 years ago